Finite Group Databasebeta

← Group #12117451

Character table — Group #12117451

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111111122222222222222222222444444444444444488888888888888888888888888888888881010101016161616161616161616161616161616202020202020202020202020202020202020404040404040
order1222222244445510101010101010101010101010104444888820202020202020204444444488202020202020202040404040404040404040404040404040222220202020202020202020202020202020224444444444448888444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-111
χ91111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ101111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ111111111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ121111111111111111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-111
χ131111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ141111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111111111-1-1-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ161111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-1
χ171-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111i−ii−ii−ii−i1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-11-1ii−i−iii−i−i11-1-1i−ii−i1-1
χ181-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111i−ii−ii−ii−i1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111ii−i−iii−i−iii−i−iii−i−i-11-11-11−i−iii−i−iii-1-111−ii−ii-11
χ191-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111−ii−ii−ii−ii1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-11-1−i−iii−i−iii11-1-1−ii−ii1-1
χ201-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111−ii−ii−ii−ii1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111−i−iii−i−iii−i−iii−i−iii-11-11-11ii−i−iii−i−i-1-111i−ii−i-11
χ211-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111i−ii−i−ii−ii-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−iii−i−i−i−iii−i−iii1-11-11-1ii−i−i−i−iii-1-111i−i−ii-11
χ221-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111i−ii−i−ii−ii-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i−i−iii−i−iii-11-11-11−i−iiiii−i−i11-1-1−iii−i1-1
χ231-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111−ii−iii−ii−i-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1−i−iii−i−iiiii−i−iii−i−i1-11-11-1−i−iiiii−i−i-1-111−iii−i-11
χ241-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111−ii−iii−ii−i-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iiiii−i−iii−i−i-11-11-11ii−i−i−i−iii11-1-1i−i−ii1-1
χ251-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111i−i−iii−i−ii-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii-111-1-11ii−i−iii−i−i11-1-1−ii−ii-11
χ261-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111i−i−iii−i−ii-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-111-1−i−iii−i−iii-1-111i−ii−i1-1
χ271-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111−iii−i−iii−i-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i-111-1-11−i−iii−i−iii11-1-1i−ii−i-11
χ281-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111−iii−i−iii−i-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-111-1ii−i−iii−i−i-1-111−ii−ii1-1
χ291-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111i−i−ii−iii−i1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i-111-1-11ii−i−i−i−iii-1-111−iii−i1-1
χ301-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111i−i−ii−iii−i1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i1-1-111-1−i−iiiii−i−i11-1-1i−i−ii-11
χ311-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111−iii−ii−i−ii1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii-111-1-11−i−iiiii−i−i-1-111i−i−ii1-1
χ321-1111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111−iii−ii−i−ii1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111−i−iiiii−i−iii−i−i−i−iii1-1-111-1ii−i−i−i−iii11-1-1−iii−i-11
χ33222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ34222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000000000
χ35222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000000000
χ36222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000000000
χ37222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ38222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+521−521+52−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ39222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-222221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000000000000000
χ40222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+52000000000000000000000000
χ41222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ42222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000000000
χ43222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000000000
χ44222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000000000
χ45222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000000000
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χ9744-4-44-4-44-444-4−1−5−1+5−1−5−1−5−1+5−1+5−1−51+51+5−1+51−51−51+51−51+51−5000000001+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ984-4444-4-4-444-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51+54-4-440000−1+5−1+5−1−5−1−51−51−51+51+50000000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000000000000
χ994-4444-4-4-444-4-4−1+5−1−51−51−51+51+5−1+5−1+5−1+5−1−5−1−5−1−51−51+51−51+5-444-40000−1+5−1+5−1−5−1−51−51−51+51+500000000001−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000000000000
χ1004-4444-4-4-444-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51−54-4-440000−1−5−1−5−1+5−1+51+51+51−51−50000000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000000000000000000000000000000000000000
χ1014-4444-4-4-444-4-4−1−5−1+51+51+51−51−5−1−5−1−5−1−5−1+5−1+5−1+51+51−51+51−5-444-40000−1−5−1−5−1+5−1+51+51+51−51−500000000001+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000000000000000000000000000000000000000000000
χ1024-44-4-4-444000044-44-44-44-4-44-4-4-444000000000000000000000000000000000000000000000000004-4-440000000000000000000000000000000000000000
χ1034-44-4-4-444000044-44-44-44-4-44-4-4-44400000000000000000000000000000000000000000000000000-444-40000000000000000000000000000000000000000
χ1044-4-44-44-44000044-44-44-4-44-4-4444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000
χ1054-4-44-44-44000044-44-44-4-44-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000
χ1064-4-4-4444-44-44-444-4-4-4-44-4-44-4-44444000000004-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4-4444-44-44-4−1+5−1−51−51−51+51+5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−500000000−1+51−5−1−51+51−5−1+51+5−1−5000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ1084-4-4-4444-44-44-4−1+5−1−51−51−51+51+5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−500000000−1+51−5−1−51+51−5−1+51+5−1−500000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ1094-4-4-4444-44-44-4−1−5−1+51+51+51−51−5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+500000000000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ1104-4-4-4444-44-44-4−1−5−1+51+51+51−51−5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+500000000−1−51+5−1+51−51+5−1−51−5−1+5000000000000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ1114-4-4-4444-4-44-44−1+5−1−51−51−51+51+5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−500004-4-441−5−1+51+5−1−5−1+51−5−1−51+5000000000000000000−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000
χ1124-4-4-4444-4-44-44−1+5−1−51−51−51+51+5−1+51−51−5−1−51+51+5−1+5−1−5−1+5−1−50000-444-41−5−1+51+5−1−5−1+51−5−1−51+50000000000000000001−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000
χ1134-4-4-4444-4-44-44−1−5−1+51+51+51−51−5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+500004-4-441+5−1−51−5−1+5−1−51+5−1+51−5000000000000000000−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000
χ1144-4-4-4444-4-44-44−1−5−1+51+51+51−51−5−1−51+51+5−1+51−51−5−1−5−1+5−1−5−1+50000-444-41+5−1−51−5−1+5−1−51+5−1+51−50000000000000000001+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000
χ115888-8-88-8-80000−2+25−2−25−2+252−25−2−252+252−25−2+252−252+25−2−252+25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ116888-8-88-8-80000−2−25−2+25−2−252+25−2+252−252+25−2−252+252−25−2+252−25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-88-8-88-80000−2+25−2−25−2+252−25−2−252+252−252−25−2+252+252+25−2−252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-88-8-88-80000−2−25−2+25−2−252+25−2+252−252+252+25−2−252−252−25−2+252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-8-8880000−2+25−2−252−25−2+252+25−2−252−25−2+252−252+25−2−252+252−252+25−2+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-8-8880000−2−25−2+252+25−2−252−25−2+252+25−2−252+252−25−2+252−252+252−25−2−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-88-880000−2+25−2−252−25−2+252+25−2−252−252−25−2+252+252+25−2−25−2+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-88-880000−2−25−2+252+25−2−252−25−2+252+252+25−2−252−252−25−2+25−2−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.